题目

若点A(x0,y0)不在曲线f(x,y)=0上,则曲线f(x,y)+λf(x0,y0)=0(λ∈R且λ≠0)与曲线f(x,y)=0的交点个数为(    )A.0                B.1                  C.无数个            D.以上都不对 答案：A解析：由已知f(x0,y0)≠0,设P(x1,y1)是f(x,y)=0上的点,则f(x1,y1)=0,但f(x1,y1)+λf(x0,y0)≠0,即P(x1,y1)不在曲线f(x,y)+λf(x0,y0)=0上.故选A.

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